Coupled Stochastic Differential Modeling for Glucose and Insulin levels among Healthy and Diabetic Patients

Kiran Kumar Paidipati, Tirupathi Rao Padi

Abstract


In this article the researchers have proposed a coupled stochastic differential equation model for assessing the levels of glucose and insulin among diabetic patients at a point of time. The study has also provided comparative model for measuring glucose and insulin levels among healthy individuals and type-2 diabetic
patients by considering Bivariate Poisson processes. Runge-Kutta numerical method has been applied for estimating several statistical constants and sensitivity analysis is carried out with varying values of the parameters in the cases of (i) Healthy Individuals and (ii) Person prone to Type-2 Diabetes Mellitus (T2DM).


Keywords


Coupled stochastic differential model, Bivariate poisson process, Runge-Kutta Method, Type-2 diabetes

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